Question

What is the probability that a point chosen at random in the given figure will be inside the smaller square?

Enter your answer, as a fraction in simplest form, in the box.

Answer 1

The probability of randomly selecting the smaller square in 9/25.

Answer 2

Answer:
`(9)/(25)`

Explanation:

The area of a square is given by :-

`\text{Area}=\text{(side)}^2`

Given: The side length of the smaller square = 3 cm

Then the area of smaller square :-

`\text{Area}=\text{(3}^2=9\ cm^2`

The side length of the larger square = 5 cm

Then the area of larger square :-

`\text{Area}=\text{(5)}^2=25\ cm^2`

Now, the probability that a point chosen at random in the given figure will be inside the smaller square is given by :-

`\text{P(smaller square)}=\frac{\text{Area of smaller square}}{\text{Area of larger square}}\\\\\Rightarrow\ \text{P(smaller square)}=(9)/(25)`